In which sentence are parentheses correctly used? South of Tokyo beyond Yokohama is the (historic) city of Kamakura.
South of Tokyo (beyond Yokohama) is the historic city of Kamakura.
South of Tokyo (beyond Yokohama is the historic city of Kamakura).

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the second option

South of Tokyo (beyond Yokohama) is the historic city of Kamakura

The  option that reads :  South of Tokyo ( beyond Yokohama) is the historic city of Kamakura is correct. The information in parentheses is optional but   adds some useful information to get a clearer picture of the location  of  the city of Kamakura.

To put historic in parentheses is wrong since it is  important information.

To put  beyond Yokohama is the......Kamakura is wrong. The structure of the sentence has been broken.  South of Tokyo is the subject  and a parentheses cannot cover up the rest of the sentence where the predicate lies.